Questions on Algebra: Equations answered by real tutors!

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Question 995756: Write an equation to represent Sara's age is five less than twice her brothers.
Click here to see answer by stanbon(75887)

Question 995718: The equation of the line that goes through the point (3,2) and is parallel to the line 2x+5y=3
is:
Click here to see answer by MathLover1(20849)

Question 995769: Solve the equations
logx+logy=4
logx+2logy=3
THANK YOU
Click here to see answer by ikleyn(52776)

Question 995769: Solve the equations
logx+logy=4
logx+2logy=3
THANK YOU
Click here to see answer by MathLover1(20849)

Question 995722: A line through (−1,6) with a slope of −2 has a y-intercept at
Click here to see answer by josgarithmetic(39616)

Question 995760: `Write an equation to represent Sara's age is five less than twice her brothers.''.
Click here to see answer by Alan3354(69443)

Question 995760: `Write an equation to represent Sara's age is five less than twice her brothers.''.
Click here to see answer by ikleyn(52776)

Question 995773: Twenty nine less than -10 times a number is equal to -18 times the number plus 91
Click here to see answer by Boreal(15235)

Question 995721: The equation of the line with slope 4 that goes through the point (8,4)
can be written in the form y=mx+b
where m is:
and where b is:
Click here to see answer by Boreal(15235)

Question 995721: The equation of the line with slope 4 that goes through the point (8,4)
can be written in the form y=mx+b
where m is:
and where b is:
Click here to see answer by MathLover1(20849)

Question 995811: Before Heating: Mass of 250 mL beaker and oil 76.552 grams
Mass of beaker + oil +20 kernels 79.691 grams
After Heating: Mass of beaker + oil + popped kernels 79.102 grams
Using the data above, calculate the initial mass of the popcorn kernels and the final mass of the popcorn kernels.

Click here to see answer by josgarithmetic(39616)

Question 995807: Need some explanation on how this is solved.
An isosceles triangle has base 7 and height 14. Find the maximum possible area of a rectangle that can be placed inside the triangle with one side on the base of the triangle. (Hint: Similar triangles may be of assistance.)
Area[max] =

I had help on solving this but was confused by the answer. I know that an isosceles triangle is one with two equal sides. What I am confused on how this answer was derived. What exactly is happening here? how are "compare ratios" being implemented et cetera
=

Please could someone explain what is happening in each step here. I have no idea how this answer was formed.
Thank you
Click here to see answer by stanbon(75887)

Question 995859: Find the equation of a tangent from the point(0,5) to the circle
x^2 + y^2=16
Click here to see answer by josgarithmetic(39616)

Question 995935: 4(x-2)= -3(6-2x)
Click here to see answer by ikleyn(52776)

Question 995975: 6(X+26)-6(X-9)=2
Click here to see answer by josgarithmetic(39616)

Question 995988: Kofi bought six books and ten pencils from a store. Ama bought three books and twenty-two pencils of the same kind from that store. If each of them paid 17000 for the iterms, find the cost of
a. Each pencil
b. Each book
c. Two books and four pencils
THANK YOU
Click here to see answer by josgarithmetic(39616)

Question 995992: 2^2x-3(2^x)+2=0 , find the trueth set of the equation
Thank you
Click here to see answer by Alan3354(69443)

Question 996043: 53=8+6/z=
Click here to see answer by Alan3354(69443)

Question 996043: 53=8+6/z=
Click here to see answer by stanbon(75887)

Question 996014: Let g(x) = 8x + sin 8x for 0 ≤ x < 2π.
The function g will have ____critical points in [0,2pi)
List in increasing order the first two critical points in [0, 2π). Enter DNE for any empty answer blank.
x =
x =
This problem is driving me bonkers! I guess I am confused with how the domain works with this . I got to cos(8x) =-1 part and then did a U-sub to find out what 8x is, I know cos(u)=-1 then u must be pi. I got pi/8 but I am confused beyond belief on how to find the increasing order of this or what it means. Like how it gets to be 3pi/8, 5pi/8 etc.
Thank you for any and all help!
Click here to see answer by jim_thompson5910(35256)

Question 996048: 3=18+n/44=
Click here to see answer by stanbon(75887)

Question 996070: If we neglect air resistance, then the range of a ball (or any projectile) shot at an angle θ with respect to the x axis and with an initial velocity v0, is given by
R(θ)=v_0^2/g sin(2θ) for 0 ≤ θ ≤ π/2

where g is the acceleration due to gravity (9.8 meters per second per second).
For what value of θ is the maximum range attained? (Note that the answer is numerical, not symbolic.)
θ =

Please explain
Thank you
Click here to see answer by jim_thompson5910(35256)

Question 996073: Let f (x) = e^x - e^4x
Find all extreme values (if any) of f on the interval [0, 1]. Determine at which numbers in the interval these values occur.
Thank you
Click here to see answer by jim_thompson5910(35256)

Question 996088: Let g(x) = x |x + 5|
Find all critical numbers (if any) of g. Give answers in increasing order. Enter DNE in any unused space(s).
x =

x =
Please help I dont understand the whole set up of absolute value. I had someone help solve and got.
g(x) = x|x+5|
|x+5| = (x+5) for x ≥ -5
|x+5| = -(x+5) for x < -5
I don't understand this at all. Why is it ≥ or <
How is this solved..
So confused

Click here to see answer by jim_thompson5910(35256)

Question 996095: "Write an equation for each line, then graph the line." Write equation through (-7, 10) and horizontal.
Click here to see answer by ankor@dixie-net.com(22740)

Question 996102: It is given that 6 <= x <= 8 and 0.2 <= y <= 0.5. If z = x/y, find the limits in which z must lie.
Click here to see answer by jim_thompson5910(35256)

Question 996105: Can you find out the largest and the smallest values for (a) x^2 + y^2 (b) x^2 - y^2 if -10 <= x <= 10 and -5 <= y <= 5?
Click here to see answer by jim_thompson5910(35256)

Question 996110: Let f (x) = 10x^(8/3)
Find all extreme values (if any) of f on the interval [-8, 8]. Determine at which numbers in the interval these values occur. NOTE: If there is no maximum value (minimum value), then enter N/A in the corresponding blanks.
Maximum Value:
f (?)= ?= f (?)
Minimum Value:
f (?) = ?

Please explain
Thank you
Click here to see answer by jim_thompson5910(35256)

Question 996108: Let f (x) = x^2 − 5/x
Find all extreme values (if any) of f on the interval [1, 5). Determine at which numbers in the interval these values occur. Enter DNE in any unused answer blanks.
The maximum value f attains on the interval [1, 5) occurs at x = ?
The maximum value is ?
The minimum value f attains on the interval [1, 5) occurs at x = ? The minimum value is ?
Please show how you solved
Thank you
Click here to see answer by jim_thompson5910(35256)

Question 996067: a canoeist travels 4 miles downstream in 1 hour. the return trip takes 1.5 hours.Write the equations to solve the problem. what's the rate of the boat in still water
Click here to see answer by josgarithmetic(39616)

Question 996146: A board 1.2 m long is cut into two so that the length of the longer piece is 15 cm longer than twice the shorter piece.How long is the shorter piece?
Click here to see answer by meng(2)

Question 996161: A plant grows 3.5 cm per week.It is now 10 cm tall.How many weeks from now will the plant grow to a height of 27.5 cm?
Click here to see answer by josgarithmetic(39616)

Question 996196: If x^2 = 4 find x
Click here to see answer by Alan3354(69443)

Question 996204: A train leaves a station, moving along a straight line. During the next 3 hours, its velocity (in mph) is given by:
v(t) = 2t^2 - (t^3)/2, for 0≤t≤3
where t is its time (in hours) since its departure from the station.
(a). Determine the position function f(t) of the train from its velocity.
(b). Where is the train 3 hours after its departure.
Click here to see answer by Alan3354(69443)

Question 996256: How many inches are in 0.067 dekameters?
Click here to see answer by fractalier(6550)

Question 996296: What is -2 |x|=-4?
Click here to see answer by fractalier(6550)

Question 996297: X^3-5x^2-x=0 solve for x
Click here to see answer by MathLover1(20849)

Question 996317: Find four consecutive integers whose sum is 58
Click here to see answer by Alan3354(69443)

Question 996323: -7(x+1)-6=-41x+55
Click here to see answer by rfer(16322)

Question 996355: Seven times the sum of twice a number and three is equal to six times the difference of the same number doubled and four. What is the number?
Click here to see answer by stanbon(75887)

Question 996338: Solve for "r"
6yr+7xr-2ax=-9
Click here to see answer by MathLover1(20849)

Question 996340: Solve for "c"
3ax-2xc=12
Click here to see answer by ankor@dixie-net.com(22740)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580